2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153475The relation between the charge of Lascoux-Schuzenberger and the energy function in solvable lattice models is clarified. As an application, A.N.Kirillov's conjecture on the expression of the branching coefficient of ${\widehat {sl_n}}/{sl_n}$ as a limit of Kostka polynomials is proved.The main text is written by plaintex. The figures are written by latex and appended at the end of the main text. 39-pages(text), 12-pages(figures)Quantum AlgebraHigh Energy Physics - Theorytext